CBSE Class 12 Physics Simple Harmonic Motion Objective Questions

CBSE Class 12 Physics Simple Harmonic Motion Objective Questions. Please refer to the examination notes which you can use for preparing and revising for exams. These notes will help you to revise the concepts quickly and get good marks.

OBJECTIVES
1. The time period of a particle in simple harmonic motion is equal to the smallest time between the particle acquiring a particular velocity v . The value of v is
(a) vmax (b) 0 (c) between 0 and vmax (d) between 0 and –vmax

2. The motion of a particle is given by x = A sin ωt + B cos ωt. The motion of the particle is
(a) not simple harmonic (b) simple harmonic with amplitude A + B
(c) simple harmonic with amplitude (A + B)/2 (d) simple harmonic with amplitude √A² + B² .

3. The displacement of a particle is given by r = a(i cosωt + j sinωt). The motion of the particle is
(a) simple harmonic (b) on a straight line (c) on a circle (d) with constant acceleration.

4. A particle moves on the x-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude
(a) A (b) B (c) A+B (d) √A² + B² 

5. The period of vibration of a mass suspended by a spring is T. The spring is cut into n equal parts and the body is again suspended by one of the pieces. The time period of oscillation of the mass is
(a) √nT (b) nT (c) T/√n (d) n²T

6. The maximum velocity of a body undergoing SHM is 0.2 m s^–1 and its acceleration at 0.1 m from the mean position is 0.4 m s^–2. The amplitude of the SHM is
(a) 0.25 m (b) 0.3 m (c) 0.1 m (d) 0.05 m

7. Which of the following quantities are always negative in a simple harmonic motion?
(a) F.a.  (b) v.r.  (c) a.r.(d) F.r. 

8. Which of the following quantities are always positive in a simple harmonic motion?
(a) F.a.  (b) v.r.  (c) a.r.  (d) F.r. 

9. Which of the following quantities are always zero in a simple harmonic motion?
(a) F a.   (b) v r  (c) a r.   (d) F r.

10. A particle moves on the X-axis according to the equation x = x0 sin² ωt. The motion is simple harmonic
(a) with amplitude x₀ (b) with amplitude 2x₀ (c) with time period 2π/ω (d) with time period π/ω

11. A coin is placed on a horizontal platform, which undergoes vertical simple harmonic motion of angular frequency ω. The amplitude of oscillation is gradually increased. The coin will leave contact with the latform for the first time.
(a) at the highest position of the platform (b) at the mean position of the platform
(c) for an amplitude of g/ω² (d) for an amplitude of √g/ω

12. A coin is placed on a horizontal platform, which undergoes horizontal simple harmonic motion about a mean position O. The coin does not slip on the platform. The force of friction acting on the coin is F.
(a) F is always directed towards O.
(b) F is directed towards O when the coin is moving away from O, and away from O when the coin moves towards O.
(c) F = 0 when the coin and platform come to rest momentarily at the extreme position of the harmonic motion.
(d) F is maximum when the coin and platform come to rest momentarily at the extreme position of the harmonic motion.

13. In the previous question, the angular frequency of the simple harmonic motion is ω. The coefficient of friction between the coin and the platform is μ. The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time
(a) at the extreme positions of oscillations (b) at the mean position
(c) for an amplitude of μg/ω² (d) for an amplitude of g/μω²

14. When the displacement is one-fourth of the amplitude, the fraction of the total energy that is kinetic is
(a) 1/2 (b) 3/4 (c) 12/16 (d) 15/16

15. In a simple harmonic motion the displacement and velocity differ in phase by
(a) 0 (b) π/2 (c) π (d) π/4

16. A particle in simple harmonic motion has the same displacements, equal to half the amplitude, but opposite
velocities at two instants. The minimum time interval between the two instants is
(a) T/2 (b) T/3 (d) T/4 (d) T/6

17. The time period of the simple harmonic motion represented by f + 4 π² x = 0, where f and x are the
instantaneous acceleration and displacement, is
(a) 1/2 s (b) 4s (c) 1 s (d) 2 s

Objectives
1. (a) 2. (d) 3. (c) 4. (b) 5. (c)  6. (c) 7. (c, d) 8. (a) 9. (a, b, c, d) 10. (d) 11. (a, c) 12. (a, d) 13. (a, c) 14. (d) 15. (b) 16. (d) 17. (c)